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Sbornik: Mathematics, 2017, Volume 208, Issue 9, Pages 1312–1352
DOI: https://doi.org/10.1070/SM8761 (Mi sm8761) 		 
This article is cited in 17 scientific papers (total in 17 papers)

An approach problem for a control system with an unknown parameter

A. A. Ershov, V. N. Ushakov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
English version PDF (867 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM8761
Abstract: A control system with an unknown constant parameter is considered on a finite time interval. In the paper the solvability set is taken to contain only those initial positions of the system such that for each admissible value of the parameter a control taking the system to a prescribed target set exists. A numerical algorithm is designed that constructs an approximate solution, that is, a control on a prescribed interval of time which ensures that the motion of the control system occurs in a certain small neighbourhood of the target set.
Bibliography: 26 titles.
Keywords: control, control system, differential inclusion, approach problem, target set, unknown constant parameter.
Funding agency Grant number
Russian Science Foundation 15-11-10018
This research was supported by the Russian Science Foundation (grant no. 15-11-10018).
Received: 21.06.2016 and 02.03.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 9, Pages 56–99
DOI: https://doi.org/10.4213/sm8761
Bibliographic databases:
Document Type: Article
UDC: 517.977.58
MSC: 93B03, 93C10, 93C15
Language: English
Original paper language: Russian
Citation: A. A. Ershov, V. N. Ushakov, “An approach problem for a control system with an unknown parameter”, Mat. Sb., 208:9 (2017), 56–99; Sb. Math., 208:9 (2017), 1312–1352
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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